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Finding the Fourth Proportional to 11,341.84, 15,652.06 and 6,866.40

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Solution

The fourth proportional to 11,341.84, 15,652.06 and 6,866.40 is: 9,475.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,341.84 : 15,652.06 = 6,866.40 : x
  2. Step 2: Convert to fraction form
    11,341.84/15,652.06 = 6,866.40/x
  3. Step 3: Cross multiply
    11,341.84x = 15,652.06 × 6,866.40
  4. Step 4: Simplify right side
    11,341.84x = 107,473,304.78
  5. Step 5: Solve for x
    x = 107,473,304.78/11,341.84
  6. Step 6: Final answer
    x = 9,475.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.